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Finding the Fourth Proportional to 359.86, 537.20 and 305.20

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Solution

The fourth proportional to 359.86, 537.20 and 305.20 is: 455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.86 : 537.20 = 305.20 : x
  2. Step 2: Convert to fraction form
    359.86/537.20 = 305.20/x
  3. Step 3: Cross multiply
    359.86x = 537.20 × 305.20
  4. Step 4: Simplify right side
    359.86x = 163,953.44
  5. Step 5: Solve for x
    x = 163,953.44/359.86
  6. Step 6: Final answer
    x = 455.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.